Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation
- ISSN号:0253-6102
- 期刊名称:《理论物理通讯:英文版》
- 时间:0
- 分类:O[理学]
- 作者机构:[1]Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China, [2]Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China
- 相关基金:Supported by the Global Change Research Program China under Grant No.2015CB953904; the National Natural Science Foundations of China under Grant Nos.11435005,11175092,and 11205092; Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213; K.C.Wong Magna Fund in Ningbo University The authors is in debt to Drs. M. Jia, B. Ren, and X. Z. Liu for their helpful discussions.
中文摘要:
汉堡包方程的非局部的对称被截断的 Painlev 明确地给
英文摘要:
The nonloeal symmetries of the Burgers equation are explicitly given by the truncated Painlevg method. The auto-Bgcklund transformation and group invariant solutions are obtained via the localization procedure for the nonlocal residual symmetries. FUrthermore, the interaction solutions of the solition-Kummer waves and the solition-Airy waves are obtained.